Generalized Trace Formula for Polynomials Orthogonal in Continuous-Discrete Sobolev Spaces

被引：0

作者：

Osilenker, B. P. ^{[1
]}

机构：

[1] Lib Informat & Educ Resources, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2020年 / 54卷 / 04期

关键词：

orthogonal polynomials; trace formula; Fejer kernel; Gegenbauer-Sobolev polynomials; continuous-discrete spaces; Sobolev spaces; symmetric polynomials; Chebyshev polynomials; FOURIER-SERIES; ASYMPTOTICS;

D O I：

10.1134/S0016266320040097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In continuous-discrete Sobolev spaces a generalized trace formula for orthogonal polynomials {(q) over cap (n)}(n=0)(infinity) is obtained. The proof of this formula is based on the representation of the Fejer kernel for the system {(q) over cap (n)}(n=0)(infinity). As a consequence, a generalized trace formula for Gegenbauer-Sobolev polynomials in a discrete Sobolev space is obtained.

引用

页码：310 / 312

页数：3

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